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Simplifying 3(2w + -14) = -8 + 5w Reorder the terms: 3(-14 + 2w) = -8 + 5w (-14 * 3 + 2w * 3) = -8 + 5w (-42 + 6w) = -8 + 5w Solving -42 + 6w = -8 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -42 + 6w + -5w = -8 + 5w + -5w Combine like terms: 6w + -5w = 1w -42 + 1w = -8 + 5w + -5w Combine like terms: 5w + -5w = 0 -42 + 1w = -8 + 0 -42 + 1w = -8 Add '42' to each side of the equation. -42 + 42 + 1w = -8 + 42 Combine like terms: -42 + 42 = 0 0 + 1w = -8 + 42 1w = -8 + 42 Combine like terms: -8 + 42 = 34 1w = 34 Divide each side by '1'. w = 34 Simplifying w = 34
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